ΔE 11.3, fair: the same colour family, but not a straight swap. White Grey is a little darker, more muted, cooler than Birch.
Only where an exact match doesn’t matter, such as a new unit or a highlight. Fair match (ΔE 11). White Grey is a little darker, more muted, cooler than Birch.
The same difference applies the other way round: Birch is a little lighter, more saturated, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Birch on the colour wheel See White Grey on the colour wheel
All matches: Birch equivalents · White Grey equivalents